1629945856 has 272 divisors, whose sum is σ = 4529813760. Its totient is φ = 566231040.

The previous prime is 1629945833. The next prime is 1629945871. The reversal of 1629945856 is 6585499261.

It is a tau number, because it is divible by the number of its divisors (272).

It is a junction number, because it is equal to n+sod(n) for n = 1629945797 and 1629945806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85786615 + ... + 85786633.

Almost surely, 2^1629945856 is an apocalyptic number.

1629945856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1629945856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264906880).

1629945856 is an abundant number, since it is smaller than the sum of its proper divisors (2899867904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1629945856 is an equidigital number, since it uses as much as digits as its factorization.

1629945856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 56 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 55.

The square root of 1629945856 is about 40372.5879279493. The cubic root of 1629945856 is about 1176.8588909673.

The spelling of 1629945856 in words is "one billion, six hundred twenty-nine million, nine hundred forty-five thousand, eight hundred fifty-six".